Question

If the angles of a triangle are in the ratio 1: 2 : 3, determine three angles. 

Answer 1

Given that the angles of a triangle are in the ratio 1: 2 : 3
Let the angles be a, 2a,3a
∴ We know that
Sum of all angles of triangles is `180^@` 

`a+2a+3a=180^@` 

`6a=180^@` 

`a=180^@/6` 

`a=30^@` 

Since` a=30^@` 

`2a=2(30)^@=60^@`

`3a=3(30)^@=90^@` 

∴ angles are a =` 30^@,2a=60^@,3a=90^@` 

∴ Hence angles are `30^@,60^@ and 90^@`